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Finding the Third Proportional to 2,044.41 and 3,114.70

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Solution

The third proportional to 2,044.41 and 3,114.70 is: 4,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.41 : 3,114.70 = 3,114.70 : x
  2. Step 2: Convert to fraction form
    2,044.41/3,114.70 = 3,114.70/x
  3. Step 3: Cross multiply
    2,044.41x = 3,114.70 × 3,114.70
  4. Step 4: Simplify right side
    2,044.41x = 9,701,375.56
  5. Step 5: Solve for x
    x = 9,701,375.56/2,044.41
  6. Step 6: Final answer
    x = 4,745.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.